A small factory models its production cost (in rupees) for hundreds of toys by the…

MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials

Problem

A small factory models its production cost (in rupees) for xx hundreds of toys by the polynomial C(x)=x3−6x2+15x+200.C(x)=x^{3}-6x^{2}+15x+200. (i) Calculate the cost of producing 200, 400 and 600 toys. (ii) Find the additional cost incurred when production rises from 200 toys to 400 toys. (iii) Determine whether the cost of producing 500 toys will exceed Rs 25002500. Justify your answer with suitable calculations.

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